10009000 has 32 divisors (see below), whose sum is σ = 23423400. Its totient is φ = 4003200.

The previous prime is 10008983. The next prime is 10009003. The reversal of 10009000 is 90001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6482116 + 3526884 = 2546^2 + 1878^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

10009000 is a modest number, since divided by 9000 gives 1000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10009003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4005 + ... + 6004.

Almost surely, 2^10009000 is an apocalyptic number.

10009000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009000 is an abundant number, since it is smaller than the sum of its proper divisors (13414400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10009000 is a wasteful number, since it uses less digits than its factorization.

10009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 10009000 is about 3163.7003650788. The cubic root of 10009000 is about 215.5080826637.

Adding to 10009000 its reverse (90001), we get a palindrome (10099001).

It can be divided in two parts, 1000 and 9000, that multiplied together give a square (9000000 = 3000²).

The spelling of 10009000 in words is "ten million, nine thousand".